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102331223123229 = 32191817537438667
BaseRepresentation
bin10111010001000111011000…
…001101000010010100011101
3111102022202202212220102000100
4113101013120031002110131
5101403043321104420404
61001350152004451313
730361121050554522
oct2721073015022435
9442282685812010
10102331223123229
112a673478757931
12b5885876a9b39
134513a40100359
141b3ac0147b149
15bc6d0b13bd39
hex5d11d834251d

102331223123229 has 48 divisors (see below), whose sum is σ = 156472068450880. Its totient is φ = 64264498813440.

The previous prime is 102331223123161. The next prime is 102331223123231. The reversal of 102331223123229 is 922321322133201.

102331223123229 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 12 + 2 + 312 + 322 + 9 = 666.

It is not a de Polignac number, because 102331223123229 - 211 = 102331223121181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102331223123193 and 102331223123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331223123249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233058354 + ... + 233497020.

Almost surely, 2102331223123229 is an apocalyptic number.

102331223123229 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102331223123229 is a deficient number, since it is larger than the sum of its proper divisors (54140845327651).

102331223123229 is a wasteful number, since it uses less digits than its factorization.

102331223123229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446410 (or 446407 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 102331223123229 in words is "one hundred two trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-three thousand, two hundred twenty-nine".

Divisors: 1 3 9 19 57 171 181 543 1629 3439 7537 10317 22611 30951 67833 143203 429609 438667 1288827 1316001 1364197 3948003 4092591 8334673 12277773 25004019 25919743 75012057 77759229 79398727 233277687 238196181 714588543 1508575813 3306233179 4525727439 9918699537 13577182317 29756098611 62818430401 188455291203 565365873609 598428205399 1795284616197 5385853848591 11370135902581 34110407707743 102331223123229